D. Joita, C. Nastasescu and L. Nastasescu: Recollement of Grothendieck categories. Applications to schemes, p.109-116

Abstract:

We prove that under suitable conditions the recollement of two locally finite categories is locally finite and similar statements for locally coirreducible categories and categories that have Gabriel dimension and locally Krull dimension. We present applications to (right) comodule categories over semiperfect coalgebras.

Key Words: Grothendieck category, locally finite category, $k$-category, Gabriel dimension, Krull dimension.

2000 Mathematics Subject Classification: Primary: 18E15;
Secondary: 16A55, 16T15.

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